Answer: The length of radius of a circular pool is 7 meters
Step-by-step explanation:
Given that the circumference of a circular pool cover is about 88 meters
To find the length of radius
As we know circumference of a circle is given by
where C is circumference , and r is radius of the circle
Now as according to question we have
Hence,the length of radius of a circular pool is 7 meters
Answer:
a)
b)
Step-by-step explanation:
We are given in the question:
F(x,y,z) = (y, -x, z)
a)
We differentiate with respect to t.
b) F(c(t))
This is a composite function.
Answer:
5,040 different passwords are possible
Step-by-step explanation:
Assuming that 4-digit means using only numeric values.
This is a permutations problem.
n = number of values used with number values only this is 10
r = the number used in each case without repeating in this case 4
nPr = n! / (n - r)!
nPr = 10! / (10-4)!
nPr = 10! / 6!
The ! means factorial. For example 4! = 4 x 3 x 2 x 1 = 24
A quick hack for dividing factorials is to use cancelling.
10! / 6! = 10 x 9 x 8 x 7 (because 6 to 1 are cancelled by 6!)
= 5040
Answer:
9
Step-by-step explanation:
x^2+6x+9
Is perfect since
(x+3)^2 is perfect square
Identity Is (x+y)^2=x^2+2xy+y^2
You split it into a triangle and a rectangle. The rectangle’s area is 12x16=192. For the triangle, you have to find the length of the b side. You already know a and c so 12^2 + b^2=15.5^2. Solve it algebraically to get b=9. So the triangle has an area of (12x9)/2=54. So the total area is 192+54=246cm^2.